Question

An experiment consists of drawing different colored T-shirts from a drawer that contains an unknown number of T-shirts of different colors. In 55 trials of the experiment, a black T-shirt was drawn 10 times. If the experiment were repeated 110 times, how many times would you predict that a black T-shirt would be drawn?

Answer 1

The number of black T-shirts in 110 experiments is 20.

Explanation:

It is given that in 55 trials of the experiment, a black T-shirt was drawn 10 times.

Formula of probability:

`P=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}`

Since 55 trials of the experiment, a black T-shirt was drawn 10 times, therefore the probability of getting black T-shirts in 1 experiment is

`P=(10)/(55)`

`P=(2)/(11)`

The number of black T-shirts that would be drawn in 110 times is

`T=(2)/(11)* 110=20`

Therefore the number of black T-shirts in 110 experiments is 20.